Match each object with the characteristics it represent

The slope of the line that passes through the points (6,9) and (11,2) is

jarptica [38.1K]

Answer:

slope = - $\frac{7}{5}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2-y_{1} } }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (6, 9) and (x₂, y₂ ) = (11, 2)

m = $\frac{2-9}{11-6}$ = $\frac{-7}{5}$ = - $\frac{7}{5}$

5 0

3 years ago

Read 2 more answers

What is the median of these figure skating ratings 5.0,6.0,7.0,8.0,9.0,10.0

defon

Answer:

7.5

Step-by-step explanation:

5.0 - 10.0 = 5.0 ÷ 2 = 2.5 + 5.0 = 7.5

8 0

3 years ago

Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = $\frac{5}{8}\times x$

Remaining votes = x - $\frac{5}{8}\times x$

= $\frac{8x-5x}{8}\times x$

= $\frac{3}{8}\times x$

Votes for green = $\frac{5}{9}\times (\text{Remaining votes})}$

= $\frac{5}{9}\times \frac{3x}{8}$

= $\frac{5}{24}\times x$

Finally remaining votes = $\frac{3x}{8}-\frac{5x}{24}$

= $\frac{9x-5x}{24}$

= $\frac{4x}{24}$

= $\frac{x}{6}$

Since these votes are for red therefore,

$\frac{x}{6}$ = 48

x = 48×6

= 288

a) Votes for blue are $\frac{5x}{8}$

Therefore, exact number for blue votes = $\frac{5\times 288}{8}$

= 5×36

= 180

b). Votes for green = $\frac{5x}{24}$

= $\frac{5\times 288}{24}$

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = $\frac{7}{10}\times 180$

= 7×18

= 126

Since total votes made = 288

Therefore, half of the votes made = $\frac{288}{2}$

= 144

Now it's clear that number of votes made by girls is less than half of all the votes.

e). 126 girls voted for blue.

5 0

3 years ago

Blanca jogged 8 days last month. She jogged 1.25 miles on each of these days and burned 140 calories per mile while jogging.

Marat540 [252]

Answer: 1,400 calories

Bianca jogged 1.25 miles per day for 8 days. so 1.25*8 would equal 10 miles.

Since she jogged 10 miles and burned 140 calories per mile, if we multiply 10*140, we would get 1,400.

So last month, she lost 1,400 calories.

6 0

3 years ago

Select the correct answer. What is the range of the function f(x) = -4\x+ 11 - 5? A. (-4,-5) B. [-5,-) OC. (-4,-) OD. (-2,-4] Re

Y_Kistochka [10]

We are given the following function:

$f(x)=-4\lvert x+1\rvert-5$

This function is equivalent to the function:

$g(x)=-4\lvert x+1\rvert$

Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:

$R(f(x))=\mleft\lbrace y\parallel y\mright?\le5\rbrace$

or in interval notation:

$R(f(x))=(-\infty,-5\rbrack$

3 0

1 year ago